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Finding the Third Proportional to 972.75 and 1,509.75

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Solution

The third proportional to 972.75 and 1,509.75 is: 2,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.75 : 1,509.75 = 1,509.75 : x
  2. Step 2: Convert to fraction form
    972.75/1,509.75 = 1,509.75/x
  3. Step 3: Cross multiply
    972.75x = 1,509.75 × 1,509.75
  4. Step 4: Simplify right side
    972.75x = 2,279,345.06
  5. Step 5: Solve for x
    x = 2,279,345.06/972.75
  6. Step 6: Final answer
    x = 2,343.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.